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Bezier curves:
Theses are special polynomial curves expressed using Bernstein polynomials. Spline curves are simple extensions of Bézier curves composed of two or more polynomial curves joined in a sequence in such a way that the resulting curve is atleast continuous. Formula to compute points on a Bézier curve P is as follows:
Where {bi} are the control points of the curve and Bni(t) are Bernstein polynomials.
De Casteljau Algorithm For computation of Bézier curves an iterative algorithm known as de Casteljau algorithm is used. The algorithm uses repeated linear interpolation.
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